Liuquan Wang

activity

20132026

most citedParity of coefficients of mock theta functions

12 citations · 48 across the 40 of their papers we have counts for

collaborators

Showing 2014Show all

7 papers · 1 filter

math.NT2014★ 3 cited

Arithmetic Properties of Partition Quadruples With Odd Parts Distinct

Liuquan Wang

Let $pod_{- 4} (n)$ denote the number of partition quadruples of $n$ where the odd parts in each partition are distinct. We find many arithmetic properties of $\mathrm{pod}_…

math.NT2014★ 2 cited

A New Super Congruence Involving Multiple Harmonic Sums

Liuquan Wang

Let $P_{n}$ denote the set of positive integers which are prime to $n$ . Let $B_{n}$ be the $n$ -th Bernoulli number. For any prime $p \geq 5$ and $r \geq 2$ , we prove that \…

math.NT2014★ 1 cited

Arithmetic Properties of Overpartition Triples

Liuquan Wang

Let $p_{3} (n)$ be the number of overpartition triples of $n$ . By elementary series manipulations, we establish some congruences for $p_{3} (n)$ modulo smal…

math.NT2014★ 5 cited

A Curious Congruence Involving Alternating Harmonic Sums

Liuquan Wang

Let $p$ be a prime and $P_{p}$ the set of positive integers which are prime to $p$ . We establish the following interesting congruence \[\sum\limits_{\begin{smallmatrix}…

math.NT2014★ 3 cited

A short Proof of a conjecture by Hirschhorn and Sellers on Overpartitions

Liuquan Wang

Let $p (n)$ be the number of overpartitions of $n$ , we establish and give a short elementary proof of the following congruence \[\overline{p}({{4}^{α}}(40n+35))\equiv 0 \…

math.NT2014★ 3 cited

Arithmetic Properties of Partition Triples With Odd Parts Distinct

Liuquan Wang

Let $pod_{- 3} (n)$ denote the number of partition triples of $n$ where the odd parts in each partition are distinct. We find many arithmetic properties of $\mathrm{pod}_{-3…

math.NT2014★ 1 cited

Perfect Numbers and Fibonacci Primes (II)

Tianxin Cai, Liuquan Wang, Yong Zhang

In this paper, we study the diophantine equation $σ_{2} (n) - n^{2} = A n + B$ . We prove that except for finitely many computable solutions, all the solutions to this equation with…